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21314001144 = 2333174338557
BaseRepresentation
bin10011110110011010…
…011101100011111000
32001000102001102221210
4103312122131203320
5322122341014034
613442545003120
71353116010012
oct236632354370
961012042853
1021314001144
11904821a587
12416a0234a0
1320189a56c7
141062a0d1b2
1584b2c48e9
hex4f669d8f8

21314001144 has 64 divisors (see below), whose sum is σ = 55079331840. Its totient is φ = 6866052480.

The previous prime is 21314001131. The next prime is 21314001173. The reversal of 21314001144 is 44110041312.

It is a self number, because there is not a number n which added to its sum of digits gives 21314001144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 533514 + ... + 572070.

It is an arithmetic number, because the mean of its divisors is an integer number (860614560).

Almost surely, 221314001144 is an apocalyptic number.

21314001144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21314001144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27539665920).

21314001144 is an abundant number, since it is smaller than the sum of its proper divisors (33765330696).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

21314001144 is a wasteful number, since it uses less digits than its factorization.

21314001144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39340 (or 39336 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 21314001144 its reverse (44110041312), we get a palindrome (65424042456).

The spelling of 21314001144 in words is "twenty-one billion, three hundred fourteen million, one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 31 62 93 124 186 248 372 743 744 1486 2229 2972 4458 5944 8916 17832 23033 38557 46066 69099 77114 92132 115671 138198 154228 184264 231342 276396 308456 462684 552792 925368 1195267 2390534 3585801 4781068 7171602 9562136 14343204 28647851 28686408 57295702 85943553 114591404 171887106 229182808 343774212 687548424 888083381 1776166762 2664250143 3552333524 5328500286 7104667048 10657000572 21314001144